Analysis and Control of Complex Dynamical Systems: Robust Bifurcation, Dynamic Attractors, and Network Complexity

✍ Scribed by Kazuyuki Aihara, Jun-ichi Imura, Tetsushi Ueta (eds.)

• Publisher: Springer Tokyo
• Year: 2015
• Tongue: English
• Leaves: 215
• Series: Mathematics for Industry 7
• Edition: 1
• Category: Library

✦ Synopsis

This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory. As well, its basic point of view is of three kinds of complexity: bifurcation phenomena subject to model uncertainty, complex behavior including periodic/quasi-periodic orbits as well as chaotic orbits, and network complexity emerging from dynamical interactions between subsystems. Analysis and Control of Complex Dynamical Systems offers a valuable resource for mathematicians, physicists, and biophysicists, as well as for researchers in nonlinear science and control engineering, allowing them to develop a better fundamental understanding of the analysis and control synthesis of such complex systems.

✦ Table of Contents

Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Dynamic Robust Bifurcation Analysis....Pages 3-19
Robust Bifurcation Analysis Based on Degree of Stability....Pages 21-31
Use of a Matrix Inequality Technique for Avoiding Undesirable Bifurcation....Pages 33-40
A Method for Constructing a Robust System Against Unexpected Parameter Variation....Pages 41-48
Parametric Control to Avoid Bifurcation Based on Maximum Local Lyapunov Exponent....Pages 49-55
Threshold Control for Stabilization of Unstable Periodic Orbits in Chaotic Hybrid Systems....Pages 57-73
Front Matter....Pages 75-75
Chaotic Behavior of Orthogonally Projective Triangle Folding Map....Pages 77-90
Stabilization Control of Quasi-periodic Orbits....Pages 91-107
Feedback Control Method Based on Predicted Future States for Controlling Chaos....Pages 109-120
Ultra-discretization of Nonlinear Control Systems with Spatial Symmetry....Pages 121-140
Feedback Control of Spatial Patterns in Reaction-Diffusion Systems....Pages 141-160
Control of Unstabilizable Switched Systems....Pages 161-169
Front Matter....Pages 171-171
Clustered Model Reduction of Large-Scale Bidirectional Networks....Pages 173-189
Network Structure Identification from a Small Number of Inputs/Outputs....Pages 191-208
Back Matter....Pages 209-211

✦ Subjects

Vibration, Dynamical Systems, Control; Complexity; Complex Networks; Complex Systems